Carnap's continuum of inductive methods
E305938
Carnap's continuum of inductive methods is a family of formal Bayesian-style confirmation functions that systematically vary how evidence updates degrees of belief in logical probability theory.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Bayesian confirmation theory | 1 |
| Carnap's continuum of inductive methods canonical | 1 |
| Carnap's straight rule | 1 |
| Rudolf Carnap's The Continuum of Inductive Methods | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2866820 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Carnap's continuum of inductive methods Context triple: [Logical Foundations of Probability, relatedTo, Carnap's continuum of inductive methods]
-
A.
The Philosophy of the Inductive Sciences
The Philosophy of the Inductive Sciences is William Whewell’s major 19th-century work in the philosophy of science, elaborating a systematic account of scientific method and the role of induction in the development of scientific knowledge.
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B.
The Principles of Empirical or Inductive Logic
The Principles of Empirical or Inductive Logic is a foundational 19th-century work by John Venn that systematically explores the theory and methodology of inductive reasoning in logic and probability.
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C.
The Logic of Scientific Discovery
The Logic of Scientific Discovery is Karl Popper’s foundational philosophical work that introduces falsifiability as the key criterion distinguishing scientific theories from non-scientific ones.
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D.
Logic: The Theory of Inquiry
Logic: The Theory of Inquiry is John Dewey’s major work on logic, presenting a pragmatic account of reasoning as an experimental, inquiry-driven process grounded in experience.
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E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Carnap's continuum of inductive methods Target entity description: Carnap's continuum of inductive methods is a family of formal Bayesian-style confirmation functions that systematically vary how evidence updates degrees of belief in logical probability theory.
-
A.
The Philosophy of the Inductive Sciences
The Philosophy of the Inductive Sciences is William Whewell’s major 19th-century work in the philosophy of science, elaborating a systematic account of scientific method and the role of induction in the development of scientific knowledge.
-
B.
The Principles of Empirical or Inductive Logic
The Principles of Empirical or Inductive Logic is a foundational 19th-century work by John Venn that systematically explores the theory and methodology of inductive reasoning in logic and probability.
-
C.
The Logic of Scientific Discovery
The Logic of Scientific Discovery is Karl Popper’s foundational philosophical work that introduces falsifiability as the key criterion distinguishing scientific theories from non-scientific ones.
-
D.
Logic: The Theory of Inquiry
Logic: The Theory of Inquiry is John Dewey’s major work on logic, presenting a pragmatic account of reasoning as an experimental, inquiry-driven process grounded in experience.
-
E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
Bayesian-style inductive method
ⓘ
concept in philosophy of science ⓘ family of confirmation functions ⓘ formal system of inductive logic ⓘ |
| aimsToCapture | rational learning from experience ⓘ |
| appliesTo |
languages with finitely many predicates
ⓘ
simple first-order languages ⓘ |
| assumes |
exchangeability of observations
ⓘ
logical symmetry between individuals ⓘ logical symmetry between predicates (in some versions) ⓘ |
| characterizedAs |
family of confirmation functions indexed by a parameter λ
ⓘ
systematic variation of how evidence updates degrees of belief ⓘ |
| criticizedFor |
dependence on language choice
ⓘ
idealization of logical omniscience ⓘ limited applicability to real scientific theories ⓘ |
| developedBy | Rudolf Carnap ⓘ |
| formalizes | inductive confirmation ⓘ |
| hasGoal |
to define objective confirmation measures given a language
ⓘ
to provide a rational reconstruction of inductive reasoning ⓘ |
| hasHistoricalPeriod | mid-20th century ⓘ |
| hasInterpretation | different λ values represent different attitudes toward evidence ⓘ |
| hasLimitingCase |
methods that follow observed frequencies closely (extreme boldness)
ⓘ
methods that ignore new evidence (extreme caution) ⓘ |
| hasMember |
Carnap's c* function
ⓘ
Carnap's continuum of inductive methods self-linksurface differs ⓘ
surface form:
Carnap's straight rule
Laplace's rule of succession (as a special case) ⓘ |
| hasTheoreticalContext |
Bayesian epistemology
ⓘ
surface form:
Bayesian confirmation theory
inductive logic ⓘ logical probability theory ⓘ |
| influenced |
formal epistemology
ⓘ
philosophy of confirmation ⓘ |
| introducedInWork |
Logical Foundations of Probability
ⓘ
surface form:
Rudolf Carnap's Logical Foundations of Probability
Carnap's continuum of inductive methods self-linksurface differs ⓘ
surface form:
Rudolf Carnap's The Continuum of Inductive Methods
|
| involves |
prior probability distributions over state descriptions
ⓘ
updating by conditional probability on evidence ⓘ |
| isSpecialCaseOf | Bayesian updating with specific priors ⓘ |
| relatedConcept |
confirmation function
ⓘ
inductive method parameter c ⓘ logical probability ⓘ principle of indifference (in logical probability) ⓘ |
| relatedTo |
Bayesian epistemology
ⓘ
surface form:
Bayesian conditionalization
logical interpretation of probability ⓘ |
| studiedIn |
formal epistemology literature
ⓘ
history of analytic philosophy ⓘ |
| usesParameter |
c
ⓘ
λ ⓘ |
| variesWith |
degree of caution in inductive inference
ⓘ
speed of convergence to limiting frequencies ⓘ weight assigned to prior evidence ⓘ |
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Subject: Carnap's continuum of inductive methods Description of subject: Carnap's continuum of inductive methods is a family of formal Bayesian-style confirmation functions that systematically vary how evidence updates degrees of belief in logical probability theory.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.